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Finding the Fourth Proportional to 11,469.54, 15,831.24 and 6,756.54

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Solution

The fourth proportional to 11,469.54, 15,831.24 and 6,756.54 is: 9,325.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,469.54 : 15,831.24 = 6,756.54 : x
  2. Step 2: Convert to fraction form
    11,469.54/15,831.24 = 6,756.54/x
  3. Step 3: Cross multiply
    11,469.54x = 15,831.24 × 6,756.54
  4. Step 4: Simplify right side
    11,469.54x = 106,964,406.31
  5. Step 5: Solve for x
    x = 106,964,406.31/11,469.54
  6. Step 6: Final answer
    x = 9,325.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.